It kind of depends on what game it is:
For an example, Project64 will need more RAM than 1GB + 256MB RAM. It really depends on the actual size of the RAM, so like I would recommend 3GB, for old games. Maybe a little bit more for modern gaming, like 8GB. Something near that. Go and check you graphics settings and see if you can set it up to lower resolution, let's take Chess Titans for example, lowest graphics works better for lower RAM sticks of memory, if you get my idea. Some RAM sticks might mess up your motherboard permanently. The RAM may overheat and cause the motherboard to heat at an uncoolable temp. So be careful if you reach max limit or get incompatible with the RAM.